PROBABILITY AND MEASURE MAIN TOPICS Measures. Measurable functions and random variables. Integration. Inequalities and Lp spaces. Fourier transform. Gaussian random variables. Ergodic theory. Sums of independent random variables. LECTURE NOTES Probability and Measure, written by D. Chua, based on lectures by J. Miller, 2016, University of Cambridge. EXERCISES AND EXAMS With SolutionsWithout SolutionsProbability and Measure, by J. Miller, 2016, University of Cambridge. VIDEO LECTURES Real Analysis, by E. Carneiro, 2020, International Centre for Theoretical Physics. FREE TEXTBOOKS BIBLIOGRAPHY PROBLEM BOOKS